On the Shift Differentiability of the Flow Generated by a Hyperbolic System of Conservation Laws
نویسنده
چکیده
We consider the notion of shift tangent vector introduced in [6] for real valued BV functions and introduced in [8] for vector valued BV functions. Using a simple decomposition of u ∈ BV in terms of its derivative, we extend the results of [8] to more general shift tangent vectors. This extension allows us to study the shift differentiability of the flow generated by a hyperbolic system of conservation laws. 1991 Mathematics Subject Classification. 35L65. I thank Prof. Alberto Bressan for his useful remarks and suggestions. I also thank Marco Bertola for clarifying explanations on Riemannian manifolds. Typeset by AMS-TEX 1
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